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solve the inequality for w. 3w - 39 ≥ -2(6 - 3w) simplify your answer a…

Question

solve the inequality for w.
3w - 39 ≥ -2(6 - 3w)
simplify your answer as much as possible.

Explanation:

Step1: Expand the right-hand side

$3w - 39 \geq -12 + 6w$

Step2: Subtract $3w$ from both sides

$-39 \geq -12 + 3w$

Step3: Add 12 to both sides

$-27 \geq 3w$

Step4: Divide by 3 on both sides

$\frac{-27}{3} \geq w$

Answer:

$w \leq -9$